A jetliner has an air speed of 500 mph. A 200-mph wind is blowing fromwest to east.(a) The pilot heads due north. In what direction does the plane fly, and whatis its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it isheaded, at 500 mph. Use the velocity transformation to find the components ofthe plane's velocity in the ground frame.)(b) In what direction should the pilot head in order to fly due north? What isthe plane's ground speed in this case? 1.3. A jetliner has an air speed of 500 mph. A 200-mph wind is blowing fromwest to east.(a) The pilot heads due north. In what direction does the plane fly, and whatis its ground speed? (Hint: Define a frame of reference S' that moves with theGalilean Relativity| 25wind. In S' there is no wind; hence the plane always moves in the direction it isheaded, at 500 mph. Use the velocity transformation to find the components ofthe plane's velocity in the ground frame.)(b) In what direction should the pilot head in order to fly due north? What isthe plane's ground speed in this case?

Consider E,W as x and -x axis, N,S as y and -y axis respectively

A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?

A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 13PQ

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